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316642688 = 2716714813
BaseRepresentation
bin10010110111111…
…001010110000000
3211001211010002222
4102313321112000
51122030031223
651230430212
710563263345
oct2267712600
9731733088
10316642688
1115281137a
128a062368
13507a704b
14300a67cc
151cbea0c8
hex12df9580

316642688 has 32 divisors (see below), whose sum is σ = 634631760. Its totient is φ = 157362688.

The previous prime is 316642681. The next prime is 316642693. The reversal of 316642688 is 886246613.

316642688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316642681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13970 + ... + 28782.

Almost surely, 2316642688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317315880).

316642688 is an abundant number, since it is smaller than the sum of its proper divisors (317989072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

316642688 is a wasteful number, since it uses less digits than its factorization.

316642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14994 (or 14982 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 316642688 is about 17794.4566649280. The cubic root of 316642688 is about 681.5899129338.

It can be divided in two parts, 3166 and 42688, that added together give a palindrome (45854).

The spelling of 316642688 in words is "three hundred sixteen million, six hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1336 2672 5344 10688 14813 21376 29626 59252 118504 237008 474016 948032 1896064 2473771 4947542 9895084 19790168 39580336 79160672 158321344 316642688